22442142001440 has 192 divisors, whose sum is σ = 82161062968320. Its totient is φ = 5042689489920.

The previous prime is 22442142001399. The next prime is 22442142001441. The reversal of 22442142001440 is 4410024124422.

It is a super-2 number, since 2×22442142001440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22442142001398 and 22442142001407.

It is not an unprimeable number, because it can be changed into a prime (22442142001441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56405226 + ... + 56801705.

It is an arithmetic number, because the mean of its divisors is an integer number (427922202960).

Almost surely, 2^{22442142001440} is an apocalyptic number.

22442142001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442142001440 is an abundant number, since it is smaller than the sum of its proper divisors (59718920966880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22442142001440 is a wasteful number, since it uses less digits than its factorization.

22442142001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113207015 (or 113207007 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22442142001440 its reverse (4410024124422), we get a palindrome (26852166125862).

The spelling of 22442142001440 in words is "twenty-two trillion, four hundred forty-two billion, one hundred forty-two million, one thousand, four hundred forty".